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Finding the Fourth Proportional to 313,239.84, 432,271.31 and 169,999.98

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Solution

The fourth proportional to 313,239.84, 432,271.31 and 169,999.98 is: 234,600.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,239.84 : 432,271.31 = 169,999.98 : x
  2. Step 2: Convert to fraction form
    313,239.84/432,271.31 = 169,999.98/x
  3. Step 3: Cross multiply
    313,239.84x = 432,271.31 × 169,999.98
  4. Step 4: Simplify right side
    313,239.84x = 73,486,114,054.57
  5. Step 5: Solve for x
    x = 73,486,114,054.57/313,239.84
  6. Step 6: Final answer
    x = 234,600.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.